{"id":"https://openalex.org/W4411857030","doi":"https://doi.org/10.1038/s41598-025-04469-4","title":"Enhanced secretary bird optimization algorithm with multi-strategy fusion and Cauchy\u2013Gaussian crossover","display_name":"Enhanced secretary bird optimization algorithm with multi-strategy fusion and Cauchy\u2013Gaussian crossover","publication_year":2025,"publication_date":"2025-07-01","ids":{"openalex":"https://openalex.org/W4411857030","doi":"https://doi.org/10.1038/s41598-025-04469-4","pmid":"https://pubmed.ncbi.nlm.nih.gov/40603358","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/12223234"},"language":"en","primary_location":{"id":"doi:10.1038/s41598-025-04469-4","doi":"https://doi.org/10.1038/s41598-025-04469-4","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s41598-025-04469-4","pdf_url":"https://www.nature.com/articles/s41598-025-04469-4.pdf","source":{"id":"https://openalex.org/S196734849","display_name":"Scientific Reports","issn_l":"2045-2322","issn":["2045-2322"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Reports","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.nature.com/articles/s41598-025-04469-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073398546","display_name":"Xinle Wang","orcid":"https://orcid.org/0000-0003-1177-1786","observed_orcids":["https://orcid.org/0000-0003-1177-1786"]},"institutions":[{"id":"https://openalex.org/I106079672","display_name":"Hebei University of Engineering","ror":"https://ror.org/036h65h05","country_code":"CN","type":"education","lineage":["https://openalex.org/I106079672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinle Wang","raw_affiliation_strings":["School of Civil Engineering, Hebei University of Engineering, Handan, 056038, Hebei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Hebei University of Engineering, Handan, 056038, Hebei, China","institution_ids":["https://openalex.org/I106079672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035591319","display_name":"Peijun Wei","orcid":"https://orcid.org/0000-0002-2965-314X","observed_orcids":["https://orcid.org/0000-0002-2965-314X","https://orcid.org/0000-0002-3202-482X"]},"institutions":[{"id":"https://openalex.org/I106079672","display_name":"Hebei University of Engineering","ror":"https://ror.org/036h65h05","country_code":"CN","type":"education","lineage":["https://openalex.org/I106079672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peijun Wei","raw_affiliation_strings":["School of Civil Engineering, Hebei University of Engineering, Handan, 056038, Hebei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Hebei University of Engineering, Handan, 056038, Hebei, China","institution_ids":["https://openalex.org/I106079672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087189979","display_name":"Yancang Li","orcid":"https://orcid.org/0000-0002-0229-7982","observed_orcids":["https://orcid.org/0000-0002-0229-7982"]},"institutions":[{"id":"https://openalex.org/I106079672","display_name":"Hebei University of Engineering","ror":"https://ror.org/036h65h05","country_code":"CN","type":"education","lineage":["https://openalex.org/I106079672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yancang Li","raw_affiliation_strings":["School of Civil Engineering, Hebei University of Engineering, Handan, 056038, Hebei, China. liyancang@hebeu.edu.cn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Hebei University of Engineering, Handan, 056038, Hebei, China. liyancang@hebeu.edu.cn","institution_ids":["https://openalex.org/I106079672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087189979"],"corresponding_institution_ids":["https://openalex.org/I106079672"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":{"value":2690,"currency":"USD","value_usd":2690},"fwci":4.196,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.95241016,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"15","issue":"1","first_page":"23163","last_page":"23163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/secretary-bird-optimization-algorithm","display_name":"secretary bird optimization algorithm","score":0.902999997138977},{"id":"https://openalex.org/keywords/harris-hawks-optimization","display_name":"Harris Hawks Optimization","score":0.8399999737739563},{"id":"https://openalex.org/keywords/multi-strategy-fusion","display_name":"multi-strategy fusion","score":0.7960000038146973},{"id":"https://openalex.org/keywords/exploration-exploitation-trade-off","display_name":"exploration-exploitation balance","score":0.9520000219345093},{"id":"https://openalex.org/keywords/premature-convergence","display_name":"premature convergence","score":0.9160000085830688},{"id":"https://openalex.org/keywords/global-exploration","display_name":"global exploration","score":0.5350000262260437},{"id":"https://openalex.org/keywords/high-dimensional-optimization","display_name":"high-dimensional optimization","score":0.7089999914169312},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"constrained optimization","score":0.9620000123977661},{"id":"https://openalex.org/keywords/discrete-optimization","display_name":"discrete optimization","score":0.9390000104904175},{"id":"https://openalex.org/keywords/metaheuristic-optimization","display_name":"metaheuristic optimization","score":0.7099999785423279}],"concepts":[{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.7638957500457764},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.594123125076294},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5426197648048401},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5028397440910339},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48064079880714417},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4386240839958191},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2976627051830292},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23707431554794312},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1449565291404724},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14152652025222778},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1038/s41598-025-04469-4","doi":"https://doi.org/10.1038/s41598-025-04469-4","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s41598-025-04469-4","pdf_url":"https://www.nature.com/articles/s41598-025-04469-4.pdf","source":{"id":"https://openalex.org/S196734849","display_name":"Scientific Reports","issn_l":"2045-2322","issn":["2045-2322"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Reports","raw_type":"journal-article"},{"id":"pmid:40603358","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40603358","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific reports","raw_type":"Journal Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:12223234","doi":null,"is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12223234/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sci Rep","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:ea40aa58adf34a3e994eac7320950cce","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/ea40aa58adf34a3e994eac7320950cce","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scientific Reports, Vol 15, Iss 1, Pp 1-27 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1038/s41598-025-04469-4","doi":"https://doi.org/10.1038/s41598-025-04469-4","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s41598-025-04469-4","pdf_url":"https://www.nature.com/articles/s41598-025-04469-4.pdf","source":{"id":"https://openalex.org/S196734849","display_name":"Scientific Reports","issn_l":"2045-2322","issn":["2045-2322"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Reports","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4256104937","display_name":null,"funder_award_id":"U21A20164","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G657160802","display_name":null,"funder_award_id":"E2020402079","funder_id":"https://openalex.org/F4320322163","funder_display_name":"Natural Science Foundation of Hebei Province"},{"id":"https://openalex.org/G8835858606","display_name":null,"funder_award_id":"52278171","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322163","display_name":"Natural Science Foundation of Hebei Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411857030.pdf","grobid_xml":"https://content.openalex.org/works/W4411857030.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W137929096","https://openalex.org/W2079439082","https://openalex.org/W2116668501","https://openalex.org/W2290883490","https://openalex.org/W2573137292","https://openalex.org/W2919979744","https://openalex.org/W3087652231","https://openalex.org/W3094704314","https://openalex.org/W3116138510","https://openalex.org/W3127557418","https://openalex.org/W4281687867","https://openalex.org/W4313563685","https://openalex.org/W4317629012","https://openalex.org/W4320487090","https://openalex.org/W4323922821","https://openalex.org/W4378901572","https://openalex.org/W4388454481","https://openalex.org/W4394926243","https://openalex.org/W4395046137","https://openalex.org/W4396863953","https://openalex.org/W4402009398","https://openalex.org/W4402050363","https://openalex.org/W4402474538","https://openalex.org/W4402830255","https://openalex.org/W4403775696","https://openalex.org/W4404582505","https://openalex.org/W4405456311","https://openalex.org/W4405790946","https://openalex.org/W4405790974","https://openalex.org/W4407928380","https://openalex.org/W4407928504","https://openalex.org/W4408494849","https://openalex.org/W4408494872"],"related_works":["https://openalex.org/W7163521323","https://openalex.org/W4406802227","https://openalex.org/W4416123468","https://openalex.org/W4402474538","https://openalex.org/W4411765217","https://openalex.org/W4415046419","https://openalex.org/W4408663850","https://openalex.org/W4407178671","https://openalex.org/W4414055491","https://openalex.org/W4401412954"],"abstract_inverted_index":{"To":[0],"address":[1],"the":[2,14,92,121,125],"issues":[3],"of":[4],"low":[5],"convergence":[6,106],"accuracy":[7,107],"and":[8,31,72,85,101,112,139,157,191],"susceptibility":[9],"to":[10,50,69,81,167],"local":[11],"optima":[12],"in":[13,104,110,120,155,179],"Secretary":[15],"Bird":[16],"Optimization":[17,67],"Algorithm":[18],"(SBOA),":[19],"this":[20],"paper":[21],"proposes":[22],"an":[23,43,57,186],"improved":[24],"algorithm":[25,35,127],"(UTFSBOA)":[26],"that":[27,97,172],"integrates":[28],"multi-strategy":[29,173],"collaboration":[30],"Cauchy-Gaussian":[32,78],"crossover.":[33],"The":[34,169],"introduces":[36],"three":[37],"innovative":[38],"mechanisms.":[39],"First,":[40],"it":[41,55,75],"incorporates":[42],"adaptive":[44],"nonlinear":[45],"factor-based":[46],"directional":[47],"search":[48],"mechanism":[49],"enhance":[51],"global":[52],"exploration.":[53],"Second,":[54],"uses":[56],"exponentially":[58],"decaying":[59],"energy":[60],"escape":[61],"factor":[62],"inspired":[63],"by":[64],"Harris":[65],"Hawk":[66],"(HHO)":[68],"balance":[70],"exploration":[71],"exploitation.":[73],"Third,":[74],"includes":[76],"a":[77],"crossover":[79],"strategy":[80],"enrich":[82],"solution":[83,188],"diversity":[84],"prevent":[86],"premature":[87],"convergence.":[88],"Experimental":[89],"evaluations":[90],"on":[91],"CEC2005":[93],"benchmark":[94],"functions":[95,119],"demonstrate":[96],"UTFSBOA":[98,184],"achieves":[99],"81.18%":[100],"88.22%":[102],"improvements":[103,164],"average":[105],"over":[108],"SBOA":[109],"30-dimensional":[111],"100-dimensional":[113],"scenarios,":[114,160],"respectively.":[115],"Among":[116],"12":[117],"complex":[118,181],"CEC2022":[122],"test":[123],"set,":[124],"proposed":[126],"obtains":[128],"optimal":[129],"solutions":[130],"for":[131,189],"7":[132],"functions.":[133],"Statistical":[134],"validation":[135],"via":[136],"Wilcoxon":[137],"rank-sum":[138],"Friedman":[140],"tests":[141],"confirms":[142,152],"its":[143,153],"robustness.":[144],"Validation":[145],"through":[146],"four":[147],"real-world":[148],"engineering":[149],"problems":[150],"further":[151],"superiority":[154],"constrained":[156,190],"discrete":[158,192],"optimization":[159,193],"with":[161],"objective":[162],"function":[163],"reaching":[165],"up":[166],"91.3%.":[168],"results":[170],"prove":[171],"synergy":[174],"significantly":[175],"enhances":[176],"algorithmic":[177],"robustness":[178],"high-dimensional":[180],"spaces,":[182],"establishing":[183],"as":[185],"effective":[187],"challenges.":[194]},"counts_by_year":[{"year":2026,"cited_by_count":10},{"year":2025,"cited_by_count":7}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2025-10-10T00:00:00"}
